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Finding the Third Proportional to 362,600 and 796,992

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Solution

The third proportional to 362,600 and 796,992 is: 1,751,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,600 : 796,992 = 796,992 : x
  2. Step 2: Convert to fraction form
    362,600/796,992 = 796,992/x
  3. Step 3: Cross multiply
    362,600x = 796,992 × 796,992
  4. Step 4: Simplify right side
    362,600x = 635,196,248,064
  5. Step 5: Solve for x
    x = 635,196,248,064/362,600
  6. Step 6: Final answer
    x = 1,751,782.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.